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Finding the Fourth Proportional to 9,262.26, 12,782.82 and 5,486.64

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Solution

The fourth proportional to 9,262.26, 12,782.82 and 5,486.64 is: 7,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.26 : 12,782.82 = 5,486.64 : x
  2. Step 2: Convert to fraction form
    9,262.26/12,782.82 = 5,486.64/x
  3. Step 3: Cross multiply
    9,262.26x = 12,782.82 × 5,486.64
  4. Step 4: Simplify right side
    9,262.26x = 70,134,731.52
  5. Step 5: Solve for x
    x = 70,134,731.52/9,262.26
  6. Step 6: Final answer
    x = 7,572.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.